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Simplifying (z + -6) = 4(z + 4) Reorder the terms: (-6 + z) = 4(z + 4) Remove parenthesis around (-6 + z) -6 + z = 4(z + 4) Reorder the terms: -6 + z = 4(4 + z) -6 + z = (4 * 4 + z * 4) -6 + z = (16 + 4z) Solving -6 + z = 16 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -6 + z + -4z = 16 + 4z + -4z Combine like terms: z + -4z = -3z -6 + -3z = 16 + 4z + -4z Combine like terms: 4z + -4z = 0 -6 + -3z = 16 + 0 -6 + -3z = 16 Add '6' to each side of the equation. -6 + 6 + -3z = 16 + 6 Combine like terms: -6 + 6 = 0 0 + -3z = 16 + 6 -3z = 16 + 6 Combine like terms: 16 + 6 = 22 -3z = 22 Divide each side by '-3'. z = -7.333333333 Simplifying z = -7.333333333
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